Question

Tính

\(\dfrac{6-2\sqrt{5}}{\sqrt{5}-1}\)

Answer 1

\(\dfrac{6-2\sqrt{5}}{\sqrt{5}-1}=\dfrac{\left(\sqrt{5}-1\right)^2}{\sqrt{5}-1}=\sqrt{5}-1\)

Answer 2

Ta có: \(\dfrac{6-2\sqrt{5}}{\sqrt{5}-1}=\dfrac{\left(\sqrt{5}\right)^2-2\sqrt{5}+1}{\sqrt{5}-1}=\dfrac{\left(\sqrt{5}-1\right)^2}{\sqrt{5}-1}=\sqrt{5}-1\)